Matter as Continuity Deficit: A Constitutive Ontology and Scalar Toy Model for Structural Emergence

This preprint presents a continuity-first ontological framework in which matter is interpreted as the observable projection of structural continuity deficit (Anti-Shape). The first part develops the constitutive foundation linking matter to continuity capacity thresholds. The second part introduces a minimal scalar field toy model formalizing Anti-Shape as a spatially varying deficit field and explores its implications for gravitational behavior, dark matter phenomenology, and black hole saturation.
The framework does not modify established dynamical laws but proposes an ontological reinterpretation of mass, gravity, and structural emergence grounded in continuity primacy.
This version combines foundational theory and preliminary mathematical formulation.